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2 years ago

A submarine dives below the surface, heading downward in nine moves. If each move downward was 180

Mathematics

1 answer:

Maslowich2 years ago

4 0

The submarine would be 1,620 ft if i’m understanding the question correctly

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A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-

seropon [69]

Answer:

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

Step-by-step explanation:

According to the statement, let $A(x,y) = (14,21)$ and $B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})$ . The equation of the line in point-slope form is defined by the following formula:

$y-y_{A} = m\cdot (x-x_{A})$ (1)

Where:

$x_{A}$ , $y_{A}$ - Coordinates of the point A, dimensionless.

$m$ - Slope, dimensionless.

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

$m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}$ (2)

If we know that $x_{A} = 14$ and $y_{A} = 21$ , then the equation of the line in point-slope form is:

$x_{B} = 1.25\cdot (14)$

$x_{B} = 17.5$

$y_{B} = 0.75\cdot (21)$

$y_{B} = 15.75$

From (2):

$m = \frac{15.75-21}{17.5-14}$

$m = -\frac{3}{2}$

By (1):

$y-21 = - \frac{3}{2}\cdot (x-14)$

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

5 0

2 years ago

What is the length of arc S shown below? Enter an exact expression.

aleksandrvk [35]

Answer:

S = 15π = 47.12

length of arc S = 15π

Attached is the image of the arc.

Step-by-step explanation:

Given;

Radius arc r = 10

Angle at the center of arc ⍉ = 3π/2

The length of the arc S can be derived using the formula;

S = r × ⍉

Substituting the values;

S = 10 × 3π/2

S = 30π/2

S = 15π = 47.12

length of arc S = 15π

6 0

2 years ago

Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the gr

mote1985 [20]

Answer:

36 ft

Step-by-step explanation:

Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the ground 5 ft in front of her. How tall is Daniela?

Hence, this is calculated as:

5ft/15ft = 12 ft/Daniela's height

Cross Multiply

5ft × Daniela's height = 15ft × 12ft

Daniela's height = 15ft × 12 ft/5ft

= 36ft

Therefore, Daniela's height = 36 ft

4 0

2 years ago

Can somone help me with number 23 and 24

tangare [24]

23.